Multibump solutions for nonlinear Schrödinger‐Poisson systems
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DOI: 10.1002/mma.6211
Abstract: In this paper, we study the following Schrödinger‐Poisson equations: −ε2Δu+V(x)u+K(x)ϕu=|u|p−2u,x∈R3,−ε2Δϕ=K(x)u2,x∈R3, where p∈(4,6) , ε>0 is a parameter and V and K satisfy the critical frequency conditions. By using variational methods and penalization arguments, we show… read more here.
Keywords: dinger poisson; schr dinger; solutions nonlinear; multibump solutions ... See more keywords
New exact solutions of a nonlinear integrable equation
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DOI: 10.1002/mma.6419
Abstract: Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of the integrable nonlinear Korteweg–de Vries… read more here.
Keywords: integrable equation; new exact; solutions nonlinear; equation ... See more keywords
On maximum principles for solutions to nonlinear elliptic ODEs and radial solutions to nonlinear elliptic PDE's via Opial‐type inequalities
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DOI: 10.1002/mma.7055
Abstract: We consider degenerated nonlinear PDE of elliptic type: −div(a(|x|)|∇w(x)|p−2∇w(x))+h|x|,w(x),∇w(x),x|x|=ϕ(w(x)), a.e. in the ball in ℝn . Using the argument based on Opial‐type inequalities, we investigate qualitative properties of their radial solutions, like, for example, the… read more here.
Keywords: radial solutions; solutions nonlinear; type inequalities; opial type ... See more keywords
Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
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DOI: 10.1007/s00009-019-1388-9
Abstract: In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes… read more here.
Keywords: existence solutions; boundary value; solutions nonlinear; non local ... See more keywords
Existence of Solutions for Some Nonlinear Elliptic Equations in Musielak Spaces with Only the Log-Hölder Continuity Condition
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DOI: 10.1007/s00009-019-1466-z
Abstract: We study the existence of solutions for some nonlinear elliptic problems with $$L^1$$L1 data in Musielak spaces; we assume that the Musielak function satisfies only the log-Hölder continuity condition. read more here.
Keywords: solutions nonlinear; lder continuity; musielak spaces; nonlinear elliptic ... See more keywords
Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations
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DOI: 10.1007/s10589-020-00230-x
Abstract: In the case of singular (and possibly even nonisolated) solutions of nonlinear equations, while superlinear convergence of the Newton method cannot be guaranteed, local linear convergence from large domains of starting points still holds under… read more here.
Keywords: convergence; newton method; nonlinear equations; solutions nonlinear ... See more keywords
Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators
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DOI: 10.1007/s10884-019-09790-x
Abstract: We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators. We introduce a new method… read more here.
Keywords: solutions nonlinear; blowing solutions; parabolic systems; nonlinear parabolic ... See more keywords
On Convergence to Stationary Distributions for Solutions of Nonlinear Fokker–Planck–Kolmogorov Equations
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DOI: 10.1007/s10958-019-04467-8
Abstract: We obtain conditions under which solutions to a nonlinear Fokker–Planck–Kolmogorov equation with the diffusion matrix depending on the solution converge to the stationary solution. read more here.
Keywords: fokker planck; solutions nonlinear; nonlinear fokker; planck kolmogorov ... See more keywords
Solitary wave solutions of some nonlinear PDEs arising in electronics
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DOI: 10.1007/s11082-017-0974-y
Abstract: In the present article, an Extended Trial Equation method has been applied to derive the new exact solutions for generalized form of equations. We consider ZK equation and ZK-BBM equation to demonstrate the features and… read more here.
Keywords: electronics solitary; solutions nonlinear; pdes arising; wave solutions ... See more keywords
Analytical solutions of nonlinear Klein–Gordon equation using the improved F-expansion method
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DOI: 10.1007/s11082-018-1445-9
Abstract: The improved F-expansion method is a rising approach to obtain new and broad-spectrum exact solutions to the nonlinear evolution equations in the field nonlinear sciences. In this study, the influential F-expansion method is used to… read more here.
Keywords: solutions nonlinear; analytical solutions; expansion method; improved expansion ... See more keywords
Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos
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DOI: 10.1007/s11253-019-01685-w
Abstract: We study bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert spaces. Necessary and sufficient conditions for the existence of bounded solutions on the entire axis are obtained under the assumption that the… read more here.
Keywords: solutions nonlinear; bounded solutions; nonlinear lyapunov; homoclinic chaos ... See more keywords